Jonas Reitz | D744 | Fall 2024

Category: Course Activities (Page 2 of 3)

What is infinity?

Imagine a line that stretches out in both directions so far out that there is no sign of a beginning nor an end. No matter how far back or how far forward you travel along it, there is always more line in both directions. This is the concept referred to as “infinity”, the idea of something that can be so large it extends beyond any limits, thus, no beginning and no end.

I believe we all once met a hero, one draped in white and green. He has a suit which boasts of flashy buttons, and from his back springs a pair of wings ready to carry him beyond the bounds of the playground. Most know him as Buzz Lightyear, to Andy, he is the coolest space ranger, but to him, he is Andy’s friend. As he stretches his plastic arms towards his plastic head, he boldly declares, “To infinity…and beyond!”

To Buzz, infinity is a representation of an endless journey full of possibilities and new adventures to explore the beyond, pushing him past his limits. Buzz’s infinity is the same as the infinity presented in mathematics, as long as we are referring to it as a concept of no beginning nor end.

This picture might not quite be infinity; however, it can still be a representation of the basic concept. The picture showcases a view of mountains that stretches far beyond our view. At simple sight, one would not have the ability to identify an end, and much less a start, to this stretch of land, which might be represented as a kind of infinity.

What is infinity?

Infinity is a concept that stretches beyond ordinary understanding, representing something that has no end or limit. In mathematics, it’s often symbolized as “∞,” a number larger than any finite quantity we could ever reach. But the concept of infinity is much more than numbers; it also appears in everyday life and nature, suggesting the boundlessness of time, space, and even ideas. When we try to understand infinity, we’re stepping into a realm that our minds struggle to fully grasp, where the limitations of what we know dissolve, and we’re left with only the wonder of endless possibilities.

Beyond the mathematical, infinity represents endlessness in many areas of life. The sky, the ocean, or even the passage of time all hint at this idea of an unending flow, with each moment leading into another, each wave rolling in just to be replaced by the next. This broader concept of infinity shapes how we think about the universe and our place within it, offering a perspective that is both humbling and intriguing.

One of my first experiences with the idea of infinity happened on a plane as I looked out at the endless stretch of clouds. The clouds seemed to blend into the horizon without any clear boundary, making me think about the vastness of the world and my place in it. As I later learned about infinity in math and philosophy, I kept returning to that view from the plane. Infinity wasn’t just an abstract concept anymore—it was something I could see and feel in that boundless sky.

For this post, I chose a photo I took from the plane window, capturing clouds extending to the horizon. This image, to me, shows infinity as a limitless view, where the clouds and sky seem to go on forever, evoking that same sense of wonder and mystery that defines infinity.

To Infinity and Beyond – Infinity Assignment

Infinity is a concept that represents something being endless or limitless—whether it is a sequence of numbers that goes on forever or the expansion of the universe itself. In mathematics, we encounter infinity through topics such as sequences and series explaining how we can approach infinite sums and limits. This concept helps develop wonder and curiosity across various fields.

I first encountered the idea of infinity in middle or high school during a math lesson that explored never-ending numbers, such as π, and the fascinating concept of the infinite. I was both intrigued and interested; something being so vast and limitless was exciting yet complex to grasp. This early experience opened my imagination and led me to wonder what is beyond that which we can quantify. To represent infinity, I chose a spiral staircase. A spiral staircase symbolizes the concept of infinity because an infinite circular staircase is ongoing and limitless like the concept of infinity. Infinity cannot be specifically quantified. Infinity also represents the boundless potential of exploration and discovery.

Infinity is also an important concept in my religion, because it symbolizes the boundless nature of creation and the mysteries beyond human perception. God existed before anything else and created everything from nothing, relates to infinity. Similarly, the universe continuously expands, illustrates the vastness of the universe. In both mathematics and spirituality, infinity signifies something beyond human comprehension, expressing awe and humility. It serves as a reminder of how much remains unknown, inspiring wonder about the mysteries that are beyond and encouraging us to explore the infinite and to feel inspired by it.

What is Infinity ?

(in my opinion)Infinity has been the meaning of endless or limitless or larger than any natural number, that cannot be measure, and has no end .The common quote they used to describe life.”Life has infinite choices and possibilities”, as it has been described in Philosophy. Philosophy has been suggesting the concept of infinity in time, possibilities and in life.Infinity can also be the symbol of forever or never ending.

Infinity can be seen in this photos, where the horizon can be stretched for infinity, or if you dive into the water, you swim for infinity.

The song “Infinity” By Jaymes Young. This song talks about his devotion and love to his lover. As he hopes their love would last forever or “for infinity”.I personally think it has some sort of connection in the terms of mathematic terms for infinity, as both indicates that you can’t measure infinity, or in the same aspect, measure love.As well as potential, as in relationship can grow and evolve infinitely, and in mathematic would be the finding of infinity possibilities.

https://www.youtube.com/watch?v=nFgXCpg193I

What is Infinity?

  1. What is infinity?  Explain in your own words.
  2. Describe either a conversation you had about infinity or an argument you had about infinity. Give us the details!

Infinity I think of it simply as a very large number which we cannot count. If you think of the largest number you can imagine, if you add one, it will always result in a larger number. And that ‘number’ I think as infinity. And also whenever I think of infinity the constant PI comes to mind as the amount of decimals it has goes on forever.

A math professor I once had told us that there are different sizes of infinities. Which I think doesn’t make any sense but explained it that went something like this. If we think about the amount of possible numbers including that can exist between the whole numbers 5 to 6, we an infinite amount of numbers if we write decimal numbers increasing by the number of decimal points (eg.5.1,5.11,5.111 etc). We can say that there exists an infinite amount of numbers between both numbers. But now if we consider the whole numbers 5 to 7, between 5 to 6 there are an infinite amount if numbers and also between 6 to 7. However, the infinite amount of numbers between 5 to 7, consists of the sum of both infinities (5 to 6 and 6 to 7) and therefore larger than the infinity between 5 to 6.This concept makes sense and at the same time seems pretty silly so I try my best not to think much about it.

What is Infinity?

What is infinity?

Infinity is an idea of something that has no limits or something that continues on endlessly. We know that in math that infinity is often categorized in a number form or looked at as if it is a number, but not a specific number but something that keep going in a positive or negative direction. Though outside the math world, infinity can be known as something that has the same meaning but represented differently. For example if we look at it from a more philosophical view, infinity is something that is undefined or unknown, which can also bring unease to many people because there is no solid or finite structure to it.

Infinity can also be known as something that has an endless possibility. People are example has an infinite about of room to create, imagine, and make choices that can end up with any possible results. Just like the city, which many people can say that they move to the city for more opportunities, for the idea of infinite amount of chances, where anything can happen and you will never know what will happen which is that the picture that I provided represents. It is the overview of the New York City, where anything is possible and that there are infinite amounts of things going on and infinite amounts of opportunities that one can go explore.

What is Infinity? / Inifinity in Religion

What is infinity? Explain in your own words.
Infinity is the idea of something that has no ending or limit. The best way to picture it is to think of a number line that goes in both directions forever, or just go to desmos graphing calculator to put in an expression and continuously zoom out. In math, it’s used to stand in for a really big number. When divided by it the answer would be so small that it is just equal to zero.

Is infinity an important idea in your religion? Do you think that infinity in a religious setting refers to the same idea as infinity in mathematics? Why or why not?
In my religion infinity is used as an adjective to describe a quality God has. That quality would be how God isn’t bound by limitations humans have. Although infinity in math is also used to describe something with no limit, it isn’t used the same way. The reason is because its applications have rules and can give quantitative answers. For example, to show how a line acts on a graph between the interval of point a to point b. Either point can start far left of zero and go to a point far right of zero on a number line, which could be described as (-∞,0] U [0,∞).

This photo is meant to show what the line on y = 4 on a number line looks like if it keeps going in both directions. The infinity symbols on the x-axis mean that the line won’t stop at any point no matter how big the number gets, so it will just go on forever on that graph. As I said earlier, its better visualized by going to desmos graphing calculator to put in an expression and continuously zooming out.

THE CONCEPT OF INFINITY

THE CONCEPT OF INFINITY

What is infinity?

The idea of infinity suggests something or some idea is endless or too large to count. It can also be imagined as something without an end, like time. Infinity can be also be described in different sciences in different ways but essentially still mean the same.

Infinity, in a mathematical sense, is denoted by ∞. IT is used to represent the boundless ends of a number line. This number line can go in both directions, that being, positive and negative directions.

From the above, we get negative infinity and positive infinity which, again, represents both ends of the number line. These are used in mathematical calculations especially when dealing with limits.

In the science of physics, on the other hand, infinity is associated with space and time. Space is thought of being infinite because we have cannot measure its end, as space (outer space) is incomparably bigger than what we can measure. Time only goes in one direction and it has no end so it is also considered infinite.

A mathematical number line showing both negative and positive infinities.

A sunset over a body of water This shows space from the view of the ground and how large it really is.

The Concept of Infinity: The Intersection of Mathematics, Physics and Fiction in Jujutsu Kaisen

  1. What is infinity?  Explain in your own words.
  2. Find a reference to infinity in popular culture (a song, a movie, a product, a book, etc.).  What does infinity mean in this context?  Does is mean the same thing that it means in mathematics? Explain. (Include a link to the pop culture item in your post).

As I define it, infinity is something that has no end, no limit. In term of size, it can be limilessly big or small. I usually take the infinite number pi to illustrate my understanding of infinity.

In the manga Jujutsu Kaisen, during his fight against Jogo, Gojo explained how his special ability “infinity” works ( https://youtu.be/l4y0cMLEnk4 ). Indeed, the closer an object gets to him, the slower the object infinitely slows down until it seems to stop (but never stops), and nothing can touch him. When the object enters the infinitely divided space he created around him, it will slow down continuously. Basically, Gojo’s “infinity” manifests as the cumulation of an endless series causing anything attempting to reach him to slow down endlessly. A mathematical explanation would be that the acceleration of the object is decreased by dividing it an infinity amount of time which will eventually look like it is not moving at all but will always be in motion.

This concept parallels certain theories in physics regarding the nature of touch, which say that we don’t touch anything and that the sensation of touch is only a repulsive force between electrons although touch seems obvious, since we feel textures, heat. But in reality, two atoms cannot come into direct contact, because the electron clouds surrounding their nuclei repel each other (negative charges against negative charges). To put it simply, when two objects come into contact, the electrons of object A repel that of object B because of the similarity of the charges. When you touch something, you feel the repulsive force between the electrons. The harder the touch, the greater the repulsive force.

This is a line that I drew to illustrate my understanding of infinity. In primary school, a line was defined to me as an infinite number of point connected to each other and also extends endlessly in both directions. To simple, this line is made of an infinite number of point or dots.

OpenLab Assignment: Tell me about infinity

We are embarking on a part of the course that deals with infinity — that is, with sequences (infinite lists of numbers) and series (infinite sums of numbers).  We are studying this idea in a rigorous mathematical way, but it is a concept that is important in many non-mathematical areas – religion, philosophy, art, and many more.  Almost every child, from shortly after they learn to count, has some idea of infinity.

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